Exploring Volume of a Rectangular Prism Answers
10 verified answers
2
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Which represents a measure of volume?
A
5 cm³B
5 square cmC
5 cmD
5 cm²3
Srekar needs to increase the length, width, and height of the prism below by 2 inches. The original prism has a length of 3 inches, a width of 2 inches, and a height of 1 inch. Which statements about the new prism are true? Select three correct answers.
A
The new prism will have a length of 5 because .
B
The new prism will have a width of 4 because .
C
The new prism will have a height of 2 because .
D
The volume will increase by 6 because and each of the 3 dimensions is increased by 2.
E
Srekar could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side.F
The volume of the new prism will be because there will be 20 cubes in each layer and the height will be 3 so there will be 3 layers of 20 cubes each.
4
Which statements about this prism partially packed with unit cubes are true? Check all that apply.
A
The middle layer of cubes is missing 7 unit cubes.B
There are 9 unit cubes stacked in the prism.C
There are 7 unit cubes that are hidden from view inside the prism.D
The volume of the prism can be found by because there are 12 cubes in each layer and there are 3 layers of cubes.
E
The volume of the prism can be found by doubling the number of cubes in the prism because it is half full.
7
Which expression could be used to find the volume of the prism shown below?
A
(4 times 12) times 10
B
(4 + 12) times 10
C
(10 + 4) times 12
D
(10 + 12) times 4
8
Arionna claims that since there are 3 feet in a yard, there are 9 cubic feet in a cubic yard. Which statement about her claim is true?
A
Arionna is correct because there are 3 feet across the length of a cubic yard and 3 feet across the depth of a cubic yard.
B
Arionna is correct because there are 3 feet in a yard and there are 3 dimensions in a cubic yard: length, depth, and height.
C
Arionna is incorrect. There are only 3 cubic feet in a cubic yard because there are 3 feet in a yard, and the proportion will remain constant.D
Arionna is incorrect. There are 27 cubic feet in a cubic yard because a cubic yard is a prism with dimensions 3 ft 3 ft 3 ft. A prism with those dimensions will take 27 cubes to fill it if each cube is a unit cube of 1 ft.
9
What is the volume of the prism shown below?
A
16 cubic inchesB
21 cubic inchesC
90 cubic inchesD
126 cubic inches10
What is the volume of the prism shown below?
A
8 cm³B
10 cm³C
12 cm³D
16 cm³Did you find these answers helpful?
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